Turkiye Klinikleri Journal of Biostatistics

.: ORIGINAL RESEARCH
Making Inference about a Biomarker by Using Information from Different Biomarkers in Time-Dependent ROC Estimation for Censored Data
Sansürlü Veriler için Zamana Bağlı ROC Tahmininde Farklı Biyobelirteçlerden Bilgi Kullanarak Biyobelirteç Hakkında Çıkarım Yapma
Deniz SIĞIRLIa, Fatma Ezgi CANb,c
aBursa Uludağ University Faculty of Medicine, Department of Biostatistics, Bursa, TURKEY
bİzmir Katip Çelebi University Faculty of Medicine, Department of Biostatistics, İzmir, TURKEY
cBursa Uludağ University Institute of Health Sciences, Department of Biostatistics, Bursa, TURKEY
Turkiye Klinikleri J Biostat. 2020;12(1):70-82
doi: 10.5336/biostatic.2019-72402
Article Language: EN
Full Text
ABSTRACT
 Objective: Time-dependent reciever operating characteristics (ROC) curves are statistical methods which can be used when the specified outcome is an event which can take place at any time after the diagnostic test has been measured and may be right censored. This work presents an approach for making inference related to the performance of prognostic biomarker which can be measured from smaller number of patients, by borrowing information from the other biomarker(s) which can be measured from larger number of patients for right censored survival data. Material and Methods: Simulation studies were performed to see the performance of the proposed modification. We evaluated estimators related to the time dependent ROC function and the area under the curve (AUC) in terms of efficiency and unbiasedness to see whether proposed modification provides benefit over the original method. Results: It is observed that proposed approach yielded smaller bias, mean square error and standard deviation values for most scenarios in the simulation studies. Conclusion: The proposed approach, which combines information from different samples with different biomarkers may be useful to make inference related to the biomarker of interest which is measured from sample with a smaller size.

Keywords: Biomarker; censored data; time dependent ROC curves
ÖZET
 Amaç: Zamana bağlı ROC eğrileri sonuç, tanı testinin ölçülmesinden sonra herhangi bir zamanda gerçekleşebilen ve sağdan sansürlü olay olarak tanımlandığında kullanılabilen istatistiksel yöntemlerdir. Bu çalışma, sağdan sansürlü sağkalım verileri için daha fazla sayıda hastadan ölçülebilen diğer biyobelirteçlerden bilgi alınarak az sayıda hasta için ölçülebilen prognostik biyobelirtecin performansı ile ilişkili çıkarım yapan bir yaklaşım sunmaktadır. Gereç ve Yöntemler: Önerilen modifikasyonun performansını görmek için simülasyon çalışmaları yapılmıştır. Önerilen yöntemin orijinal yönteme üstünlük sağlayıp sağlamadığını görmek için etkinlik ve yansızlık açısından eğri altında kalan alanla (AUC) ve zamana bağlı ROC fonksiyonuyla ilişkili tahmin ediciler değerlendirilmiştir. Bulgular: Önerilen yaklaşımın simülasyon çalışmalarındaki birçok senaryo için daha küçük yanlılık, hata kareler ortalaması ve standart sapma değerleri verdiği görülmüştür. Sonuç: Farklı biyobelirteçler ile farklı örneklemlerden elde edilen bilgiyi birleştiren önerilen yaklaşım, örneklemden daha küçük olan ilgilenilen biyobelirteçle ilgili çıkarım yapmak için yararlı olabilir.

Anahtar Kelimeler: Biyobelirteç; sansürlü veri; zamana bağlı ROC eğrileri
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